Exact Solutions of Kolmogorov-Petrovskii-Piskunov Equation Using the Modified Simple Equation Method

被引：1

作者：

E.M.E.Zayed ^{[1
]}

S.A.Hoda Ibrahim ^{[1
]}

机构：

[1] Mathematics Department,Faculty of Science,Zagazig University

来源：

Acta Mathematicae Applicatae Sinica | 2014年 / 03期

关键词：

modified simple equation method; Kolmogorov-Petrovskii-Piskunov equation; exact solutions; solitary wave solutions;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The modified simple equation method is employed to find the exact solutions of the nonlinear Kolmogorov-Petrovskii-Piskunov(KPP) equation.When certain parameters of the equations are chosen to be special values,the solitary wave solutions are derived from the exact solutions.It is shown that the modified simple equation method provides an effective and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

引用

页码：749 / 754

页数：6

共 50 条

[1] Exact solutions of Kolmogorov-Petrovskii-Piskunov equation using the modified simple equation method
E. M. E. Zayed
S. A. Hoda Ibrahim
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 749 - 754
[2] Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
Ma, WX
Fuchssteiner, B
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1996, 31 (03) : 329 - 338
[3] ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION
Unal, Arzu Ogun
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2013, 62 (01): : 1 - 10
[4] UNBOUNDED SOLUTIONS OF THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION
ABDULLAYEV, UG
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1993, 33 (05) : 603 - 614
[5] THE GENERALIZED KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION
ADOMIAN, G
[J]. FOUNDATIONS OF PHYSICS LETTERS, 1995, 8 (01) : 99 - 101
[6] Symmetry properties and exact solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation
Hashemi, M. S.
Inc, M.
Bayram, M.
[J]. REVISTA MEXICANA DE FISICA, 2019, 65 (05) : 529 - 535
[7] On the temporal asymptotics of solutions of the generalized Kolmogorov-Petrovskii-Piskunov equation
Shishmarev, IA
[J]. DOKLADY AKADEMII NAUK, 1999, 365 (04) : 461 - 464
[8] Traveling-Wave Solutions of the Kolmogorov-Petrovskii-Piskunov Equation
Pikulin, S. V.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (02) : 230 - 237
[9] On blow up of generalized Kolmogorov-Petrovskii-Piskunov equation
Korpusov, M. O.
Ovchinnikov, A. V.
Sveshnikov, A. G.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5724 - 5732
[10] Exact Solutions of Kolmogorov-Petrovskii-Piskuuov Equation Using the Modified Simple Equation Method
Zayed, E. M. E.
Ibrahim, S. A. Hoda
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (03): : 749 - 754

← 1 2 3 4 5 →